A generalization of Berwick's unit algorithm

Berwick, 1913, The classification of ideal numbers that depend on a cubic irrationality, 12, 393 Borevich, 1966 Delone, 1964 Finkelstein, 1976, On an algorithm of Billevich for finding units in algebraic number fields, Math. Comp., 30, 598 Knuth, 1969, Vol. 2 Minkowski, 1957 Newman, 1972 Niven, 1972 Pollard, 1961 Voronoi, 1896, On a Generalization of the Algorithm of Continued Franctions, Doctoral Dissertation